"I think we've ticked some pretty significant boxes," Flexman said. "As I said to a lot of key Fijian people last night, including the prime minister, we'd love the opportunity to be back."
Flexman also stressed the importance of taking rugby to the Islands, saying their fan base deserved this opportunity.
"The passion the Fijian people have for the game is, in my opinion, unparalleled," he said. "
"The commercial aspects are one part of it but, as a code, we have a wider obligation to the Islands to harness their passion."
Warren Goddard was part of the commercial team who put the Fijian deal together, which included a payment to the Crusaders.
He said the Chiefs made twice as much from the match than they would have have if they had stayed in Hamilton.
"The model was based on averaging out the yield of their stadium for the last five years, and then doubling it," he said. "Then we looked after the Crusaders, and we looked after Sky, and we did three charter flights."
Chiefs coach Dave Rennie was in no doubt Friday night's match should not be a one-off.
"I thought it was brilliant," he said. "They turned it on big time, and you could tell by the communities they were excited to have Super Rugby there."
On the issue of adding to an already taxing travel schedule for players, Rennie had no problem with the Suva trip.
"To be honest, sometimes travelling to a place like Invercargill takes longer than flying to Suva."
The Chiefs in conjunction with Sanzar and the Player's Association will conduct a full review into all aspects of this Island concept. But all indications point to Super Rugby returning to Fiji next year and beyond.
